关于基尔霍夫衍射理论中使用的斜度因子的一些评论

A. Khachatrian, K. A. Kogarov, D. G. Gevorgyan
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摘要

在这项工作的框架内,讨论了在远距离观测区域提交的球面波描述。考虑的基础是在观测方向上对问题的纵向和横向空间参数进行波场分解。结果表明,只有在实体角的极限条件下,用平场对球面波的近似才是正确的。实心角的大小包括球面波的平整区域,使用与观测区域和照射点相对应的所谓波参数来确定。由小平整区域产生的波场被定义为由点源系统产生的叠加场的极限情况。研究表明,在观测点上,小平面区域的波场可以用区域法线与从给定区域指向观测点的矢量之间的角度来表征。此外,还讨论了在小平面区域框架内描述波场的问题。提出了一种推导基尔霍夫衍射理论中众所周知的斜度系数的新方法。
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SOME REMARKS ABOUT THE OBLIQUITY FACTOR USING IN THE KIRCHHOFF DIFFRACTION THEORY
In the framework of the work the description of sphere wave filed in the far observation region is discussed. The consideration is based on the decomposition of the wave field over the longitudinal and transverse spatial parameters of the problem in the direction of observation. It is shown that the approximation of a sphere wave by the flat field is correct only if the consideration is conducted in the limit of solid angle. The magnitude of the solid angle, which includes the area of flatness of the spherical wave, is determined using the so-called wave parameters corresponding to the observation area and the illuminated point. The wave field created by a small flat area is defined as a limit case of a superposition field generated by a system of point sources. It is shown that in an observation point the wave field of a small flat area can be characterized by the angle between the area normal and the vector indicting from the given area the observation point. The problem of description of a wave filed in the framework of a small flat aria is also discussed. A new method for deriving of the well-known obliquity factor of the Kirchhoff diffraction theory is suggested.
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